This is an announcement for the paper "The algebra of bounded linear operators on $\ell_p\oplus\ell_q$ has infinitely many closed ideals" by Thomas Schlumprecht and Andras Zsak.

Abstract: We prove that in the reflexive range $1<p<q<\infty$ the algebra of all bounded linear operators on $\ell_p\oplus\ell_q$ has infinitely many closed ideals. This solves a problem raised by A. Pietsch in his book `Operator ideals'.

Archive classification: math.FA

Mathematics Subject Classification: 47L20, 46B25

Remarks: 18 pages

Submitted from: a.zsak@dpmms.cam.ac.uk

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1409.3480

or

http://arXiv.org/abs/1409.3480